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Wang, Lei; Jin, Ping
Communications in algebra, 12/2023, Letnik: 51, Številka: 12Journal Article
Let Q be a p-subgroup of a finite p-solvable group G, where p is a prime, and suppose that δ is a linear character of Q with the property that whenever are conjugate in G. In this situation, we show that restriction to p-regular elements defines a canonical bijection from the set of those irreducible ordinary characters of G with Navarro vertex onto the set of irreducible Brauer characters of G with Green vertex Q. Also, we use this correspondence to examine the behavior of lifts of Brauer characters with respect to normal subgroups. Communicated by Mandi Schaeffer Fry
